Software for Transfer Operator Computations

Automatic almost-invariant set / coherent set extraction from Sparse Eigenbasis Approximation (SEBA)

When searching for several to many almost-invariant sets or coherent sets, these sets sometimes need to be disentangled from several eigenvectors. The paper and code below perform this separation automatically by representing the eigenspace spanned by the eigenvectors in a basis whose vectors are sparse. Each of the vectors in this basis is supported on a single almost-invariant or coherent set.

Summary of transfer operator methods circa 2013

Below are slides and code for a tutorial on transfer operator methods, presented at a Banff Workshop in 2013

Matlab code, data, images, from the tutorial